Question: Need the correct answer as i am practicing with the reference book and the answers are not available i have done the solution but need

Need the correct answer as i am practicing with the reference book and the answers are not available i have done the solution but need to confirmed the answers.

What does the central limit theorem state?

  1. if the sample size increases then the sampling distribution much approach an exponential Distribution
  2. if the sample size decreases then the sample distribution must approach normal distribution
  3. if the sample size decreases then the sampling distribution much approach an exponential distribution
  4. if the sample size increases sampling distribution must approach normal distribution

If normal random variable from a normally distributed population with mean 40 and standard deviation 5, is 49. The value of standard normal random variable will be ____________

  1. 1.8
  2. 0.4
  3. -0.4
  4. -1.4

If normal random variable from a normally distributed population with mean 55 and standard deviation 5, is 48. The value of standard normal random variable will be ____________

  1. 1.4
  2. 0-1.4
  3. 0.4
  4. -0.4

Standard error is _____________ non- negative.

  1. mostly
  2. never
  3. some time
  4. always

For a normal distribution its mean, median, mode are

  1. Not equal
  2. Mean < Median < Mode
  3. Equal
  4. Mean > Median > Mode

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